Distributional derivative
= Distributional derivative
{wiki}
For a distribution $u$ and a <multi-index> $\alpha$, its distributional derivative is defined by
$$
\langle D^\alpha u,\varphi\rangle=(-1)^{|\alpha|}\langle u,D^\alpha\varphi\rangle.
$$
= Distributional derivative
{wiki}
For a distribution $u$ and a <multi-index> $\alpha$, its distributional derivative is defined by
$$
\langle D^\alpha u,\varphi\rangle=(-1)^{|\alpha|}\langle u,D^\alpha\varphi\rangle.
$$